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Author : Paul Helman
Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.:/5 (175 download)
Download or read book An Algebraic Model of Dynamic Programming written by Paul Helman and published by . This book was released on 1982 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leon Cooper
Publisher : Elsevier
ISBN 13 : 1483136620
Total Pages : 300 pages
Book Rating : 4.4/5 (831 download)
Download or read book Introduction to Dynamic Programming written by Leon Cooper and published by Elsevier. This book was released on 2016-06-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Dynamic Programming introduces the reader to dynamic programming and presents the underlying mathematical ideas and results, as well as the application of these ideas to various problem areas. A large number of solved practical problems and computational examples are included to clarify the way dynamic programming is used to solve problems. A consistent notation is applied throughout the text for the expression of quantities such as state variables and decision variables. This monograph consists of 10 chapters and opens with an overview of dynamic programming as a particular approach to optimization, along with the basic components of any mathematical optimization model. The following chapters discuss the application of dynamic programming to variational problems; functional equations and the principle of optimality; reduction of state dimensionality and approximations; and stochastic processes and the calculus of variations. The final chapter looks at several actual applications of dynamic programming to practical problems, such as animal feedlot optimization and optimal scheduling of excess cash investment. This book should be suitable for self-study or for use as a text in a one-semester course on dynamic programming at the senior or first-year, graduate level for students of mathematics, statistics, operations research, economics, business, industrial engineering, or other engineering fields.
Author : A. Kaufmann
Publisher : Academic Press
ISBN 13 : 0080955444
Total Pages : 297 pages
Book Rating : 4.0/5 (89 download)
Download or read book Dynamic Programming written by A. Kaufmann and published by Academic Press. This book was released on 2011-10-14 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work discusses the value of dynamic programming as a method of optimization for the sequential phenomena encountered in economic studies or in advanced technological programs such as those associated with space flights. The dynamic programs which are considered are defined for a deterministic universe, or one with probabilities; both categories are of equal importance in the practice of operations research or of scientific management.
Author : Richard E. Bellman
Publisher : Princeton University Press
ISBN 13 : 1400835380
Total Pages : 378 pages
Book Rating : 4.4/5 (8 download)
Download or read book Dynamic Programming written by Richard E. Bellman and published by Princeton University Press. This book was released on 2021-08-10 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book is an introduction to dynamic programming, presented by the scientist who coined the term and developed the theory in its early stages. In Dynamic Programming, Richard E. Bellman introduces his groundbreaking theory and furnishes a new and versatile mathematical tool for the treatment of many complex problems, both within and outside of the discipline. The book is written at a moderate mathematical level, requiring only a basic foundation in mathematics, including calculus. The applications formulated and analyzed in such diverse fields as mathematical economics, logistics, scheduling theory, communication theory, and control processes are as relevant today as they were when Bellman first presented them. A new introduction by Stuart Dreyfus reviews Bellman's later work on dynamic programming and identifies important research areas that have profited from the application of Bellman's theory.
Author : Dreyfus
Publisher : Academic Press
ISBN 13 : 0080955274
Total Pages : 271 pages
Book Rating : 4.0/5 (89 download)
Download or read book Dynamic Programming and the Calculus of Variations written by Dreyfus and published by Academic Press. This book was released on 1965-01-01 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic Programming and the Calculus of Variations
Author : Sanford M. Roberts
Publisher : Elsevier
ISBN 13 : 0080955193
Total Pages : 473 pages
Book Rating : 4.0/5 (89 download)
Download or read book Dynamic Programming in Chemical Engineering and Process Control by Sanford M Roberts written by Sanford M. Roberts and published by Elsevier. This book was released on 1964-01-01 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering
Author : K. Hinderer
Publisher : Springer Science & Business Media
ISBN 13 : 3642462294
Total Pages : 171 pages
Book Rating : 4.6/5 (424 download)
Download or read book Foundations of Non-stationary Dynamic Programming with Discrete Time Parameter written by K. Hinderer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present work is an extended version of a manuscript of a course which the author taught at the University of Hamburg during summer 1969. The main purpose has been to give a rigorous foundation of stochastic dynamic programming in a manner which makes the theory easily applicable to many different practical problems. We mention the following features which should serve our purpose. a) The theory is built up for non-stationary models, thus making it possible to treat e.g. dynamic programming under risk, dynamic programming under uncertainty, Markovian models, stationary models, and models with finite horizon from a unified point of view. b) We use that notion of optimality (p-optimality) which seems to be most appropriate for practical purposes. c) Since we restrict ourselves to the foundations, we did not include practical problems and ways to their numerical solution, but we give (cf.section 8) a number of problems which show the diversity of structures accessible to non stationary dynamic programming. The main sources were the papers of Blackwell (65), Strauch (66) and Maitra (68) on stationary models with general state and action spaces and the papers of Dynkin (65), Hinderer (67) and Sirjaev (67) on non-stationary models. A number of results should be new, whereas most theorems constitute extensions (usually from stationary models to non-stationary models) or analogues to known results.
Author : Eric V. Denardo
Publisher : Courier Corporation
ISBN 13 : 0486150852
Total Pages : 240 pages
Book Rating : 4.4/5 (861 download)
Download or read book Dynamic Programming written by Eric V. Denardo and published by Courier Corporation. This book was released on 2012-12-27 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed both for those who seek an acquaintance with dynamic programming and for those wishing to become experts, this text is accessible to anyone who's taken a course in operations research. It starts with a basic introduction to sequential decision processes and proceeds to the use of dynamic programming in studying models of resource allocation. Subsequent topics include methods for approximating solutions of control problems in continuous time, production control, decision-making in the face of an uncertain future, and inventory control models. The final chapter introduces sequential decision processes that lack fixed planning horizons, and the supplementary chapters treat data structures and the basic properties of convex functions. 1982 edition. Preface to the Dover Edition.
Author : Moshe Sniedovich
Publisher : CRC Press
ISBN 13 : 9781420014631
Total Pages : 624 pages
Book Rating : 4.0/5 (146 download)
Download or read book Dynamic Programming written by Moshe Sniedovich and published by CRC Press. This book was released on 2010-09-10 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: Incorporating a number of the author’s recent ideas and examples, Dynamic Programming: Foundations and Principles, Second Edition presents a comprehensive and rigorous treatment of dynamic programming. The author emphasizes the crucial role that modeling plays in understanding this area. He also shows how Dijkstra’s algorithm is an excellent example of a dynamic programming algorithm, despite the impression given by the computer science literature. New to the Second Edition Expanded discussions of sequential decision models and the role of the state variable in modeling A new chapter on forward dynamic programming models A new chapter on the Push method that gives a dynamic programming perspective on Dijkstra’s algorithm for the shortest path problem A new appendix on the Corridor method Taking into account recent developments in dynamic programming, this edition continues to provide a systematic, formal outline of Bellman’s approach to dynamic programming. It looks at dynamic programming as a problem-solving methodology, identifying its constituent components and explaining its theoretical basis for tackling problems.
Author : Richard Bellman
Publisher : University Press of Kentucky
ISBN 13 : 0813162076
Total Pages : 152 pages
Book Rating : 4.8/5 (131 download)
Download or read book Some Vistas of Modern Mathematics written by Richard Bellman and published by University Press of Kentucky. This book was released on 2014-07-15 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rapid advances in the physical and biological sciences and in related technologies have brought about equally farreaching changes in mathematical research. Focusing on control theory, invariant imbedding, dynamic programming, and quasilinearization, Mr. Bellman explores with ease and clarity the mathematical research problems arising from scientific questions in engineering, physics, biology, and medicine. Special attention is paid in these essays to the use of the digital computer in obtaining the numerical solution of numerical problems, its influence in the formulation of new and old scientific problems in new terms, and to some of the effects of the computer revolution on educational and social systems. The new opportunities for mathematical research presage, Bellman concludes, a renaissance of mathematics in human affairs by involving it closely in the problems of society.
Author : Martin L. Puterman
Publisher : Academic Press
ISBN 13 : 1483258947
Total Pages : 427 pages
Book Rating : 4.4/5 (832 download)
Download or read book Dynamic Programming and Its Applications written by Martin L. Puterman and published by Academic Press. This book was released on 2014-05-10 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic Programming and Its Applications provides information pertinent to the theory and application of dynamic programming. This book presents the development and future directions for dynamic programming. Organized into four parts encompassing 23 chapters, this book begins with an overview of recurrence conditions for countable state Markov decision problems, which ensure that the optimal average reward exists and satisfies the functional equation of dynamic programming. This text then provides an extensive analysis of the theory of successive approximation for Markov decision problems. Other chapters consider the computational methods for deterministic, finite horizon problems, and present a unified and insightful presentation of several foundational questions. This book discusses as well the relationship between policy iteration and Newton's method. The final chapter deals with the main factors severely limiting the application of dynamic programming in practice. This book is a valuable resource for growth theorists, economists, biologists, mathematicians, and applied management scientists.
Author :
Publisher : Elsevier
ISBN 13 : 0080955894
Total Pages : 271 pages
Book Rating : 4.0/5 (89 download)
Download or read book Dynamic Programming and Its Application to Optimal Control written by and published by Elsevier. This book was released on 1971-10-11 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Author : Warren B. Powell
Publisher : John Wiley & Sons
ISBN 13 : 0470182954
Total Pages : 487 pages
Book Rating : 4.4/5 (71 download)
Download or read book Approximate Dynamic Programming written by Warren B. Powell and published by John Wiley & Sons. This book was released on 2007-10-05 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete and accessible introduction to the real-world applications of approximate dynamic programming With the growing levels of sophistication in modern-day operations, it is vital for practitioners to understand how to approach, model, and solve complex industrial problems. Approximate Dynamic Programming is a result of the author's decades of experience working in large industrial settings to develop practical and high-quality solutions to problems that involve making decisions in the presence of uncertainty. This groundbreaking book uniquely integrates four distinct disciplines—Markov design processes, mathematical programming, simulation, and statistics—to demonstrate how to successfully model and solve a wide range of real-life problems using the techniques of approximate dynamic programming (ADP). The reader is introduced to the three curses of dimensionality that impact complex problems and is also shown how the post-decision state variable allows for the use of classical algorithmic strategies from operations research to treat complex stochastic optimization problems. Designed as an introduction and assuming no prior training in dynamic programming of any form, Approximate Dynamic Programming contains dozens of algorithms that are intended to serve as a starting point in the design of practical solutions for real problems. The book provides detailed coverage of implementation challenges including: modeling complex sequential decision processes under uncertainty, identifying robust policies, designing and estimating value function approximations, choosing effective stepsize rules, and resolving convergence issues. With a focus on modeling and algorithms in conjunction with the language of mainstream operations research, artificial intelligence, and control theory, Approximate Dynamic Programming: Models complex, high-dimensional problems in a natural and practical way, which draws on years of industrial projects Introduces and emphasizes the power of estimating a value function around the post-decision state, allowing solution algorithms to be broken down into three fundamental steps: classical simulation, classical optimization, and classical statistics Presents a thorough discussion of recursive estimation, including fundamental theory and a number of issues that arise in the development of practical algorithms Offers a variety of methods for approximating dynamic programs that have appeared in previous literature, but that have never been presented in the coherent format of a book Motivated by examples from modern-day operations research, Approximate Dynamic Programming is an accessible introduction to dynamic modeling and is also a valuable guide for the development of high-quality solutions to problems that exist in operations research and engineering. The clear and precise presentation of the material makes this an appropriate text for advanced undergraduate and beginning graduate courses, while also serving as a reference for researchers and practitioners. A companion Web site is available for readers, which includes additional exercises, solutions to exercises, and data sets to reinforce the book's main concepts.
Author : Stuart E. Dreyfus
Publisher :
ISBN 13 :
Total Pages : 511 pages
Book Rating : 4.:/5 (66 download)
Download or read book Dynamic Programming and the Calculus of Variations written by Stuart E. Dreyfus and published by . This book was released on 1965 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: A demonstration of the relationships between the calculus of variations, a mathematical discipline concerning certain problems of optimization theory, and dynamic programming, a newer mathematical approach applicable to optimization problems. In addition to explaining and contrasting the two approaches, the Report shows that many results of the calculus of variations become simple and intuitively apparent when examined from the dynamic programming viewpoint. In emphasizing the geometrical and physical insight afforded by this approach, the study shows how these techniques can be applied, for instance tostochastic and adaptive variational problems. It can be used in the study of dynamic programming and other new mathematical formalisms; in optimal control problems, such as the determination of rocket trajectories, the correction of launch errors and inflight disturbances of spacecraft; and in the problems of optimal control found in economics, biology, and the social sciences. (Author).
Author : Oege de Moor
Publisher :
ISBN 13 : 9780902928763
Total Pages : 176 pages
Book Rating : 4.9/5 (287 download)
Download or read book Categories, Relations and Dynamic Programming written by Oege de Moor and published by . This book was released on 1992 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third contribution of this thesis: to develop practical results about minimisation in preorders."
Author : William Sacco
Publisher :
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4.E/5 ( download)
Download or read book Dynamic Programming written by William Sacco and published by . This book was released on 1987 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: Set of student books provides exercises on a variety of mathematical concepts. Topics covered include graphing, probabilities, and applications to computer programming and medicine. The accompanying teacher's manual includes objectives, vocabulary, and suggestions for discussion questions and extension activities. Secondary level.
Author : Richard Bellman
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781548918842
Total Pages : 370 pages
Book Rating : 4.9/5 (188 download)
Download or read book Dynamic Programming written by Richard Bellman and published by Createspace Independent Publishing Platform. This book was released on 2017-07-20 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book is an introduction to dynamic programming, presented by the scientist who coined the term and developed the theory in its early stages. In Dynamic Programming, Richard E. Bellman introduces his groundbreaking theory and furnishes a new and versatile mathematical tool for the treatment of many complex problems, both within and outside of the discipline. The book is written at a moderate mathematical level, requiring only a basic foundation in mathematics, including calculus. The applications formulated and analyzed in such diverse fields as mathematical economics, logistics, scheduling theory, communication theory, and control processes are as relevant today as they were when Bellman first presented them. A new introduction by Stuart Dreyfus reviews Bellman's later work on dynamic programming and identifies important research areas that have profited from the application of Bellman's theory.
